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Finding the Fourth Proportional to 11,219.52, 16,807.32 and 6,826.08

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Solution

The fourth proportional to 11,219.52, 16,807.32 and 6,826.08 is: 10,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.52 : 16,807.32 = 6,826.08 : x
  2. Step 2: Convert to fraction form
    11,219.52/16,807.32 = 6,826.08/x
  3. Step 3: Cross multiply
    11,219.52x = 16,807.32 × 6,826.08
  4. Step 4: Simplify right side
    11,219.52x = 114,728,110.91
  5. Step 5: Solve for x
    x = 114,728,110.91/11,219.52
  6. Step 6: Final answer
    x = 10,225.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.